García-Ardila, Juan C.; Marriaga, Misael E. Approximation by polynomials in Sobolev spaces associated with classical moment functionals. (English) Zbl 07785649 Numer. Algorithms 95, No. 1, 285-318 (2024). MSC: 41A10 41A25 42C05 42C10 33C45 PDFBibTeX XMLCite \textit{J. C. García-Ardila} and \textit{M. E. Marriaga}, Numer. Algorithms 95, No. 1, 285--318 (2024; Zbl 07785649) Full Text: DOI OA License
Díaz-González, Abel; Pijeira-Cabrera, Héctor; Pérez-Yzquierdo, Ignacio Rational approximation and Sobolev-type orthogonality. (English) Zbl 1452.41006 J. Approx. Theory 260, Article ID 105481, 19 p. (2020). Reviewer: Francisco Marcellán (Leganes) MSC: 41A20 30E10 33C47 42C05 PDFBibTeX XMLCite \textit{A. Díaz-González} et al., J. Approx. Theory 260, Article ID 105481, 19 p. (2020; Zbl 1452.41006) Full Text: DOI arXiv
Marcellán, Francisco; Quintana, Yamilet; Rodríguez, José M. Weighted Sobolev spaces: Markov-type inequalities and duality. (English) Zbl 1404.33009 Bull. Math. Sci. 8, No. 2, 233-256 (2018). Reviewer: Alexei Lukashov (Saratov) MSC: 33C45 41A17 26C99 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Bull. Math. Sci. 8, No. 2, 233--256 (2018; Zbl 1404.33009) Full Text: DOI
Rodríguez, José M. Zeros of Sobolev orthogonal polynomials via Muckenhoupt inequality with three measures. (English) Zbl 1334.41011 Acta Appl. Math. 142, No. 1, 9-37 (2016). MSC: 41A10 46E35 PDFBibTeX XMLCite \textit{J. M. Rodríguez}, Acta Appl. Math. 142, No. 1, 9--37 (2016; Zbl 1334.41011) Full Text: DOI
Marcellán, Francisco; Xu, Yuan On Sobolev orthogonal polynomials. (English) Zbl 1351.33011 Expo. Math. 33, No. 3, 308-352 (2015). Reviewer: Jiří Hrivnák (Praha) MSC: 33C45 33C50 41A10 42C05 42C10 26C10 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{Y. Xu}, Expo. Math. 33, No. 3, 308--352 (2015; Zbl 1351.33011) Full Text: DOI arXiv
Quintana, Yamilet; Rodríguez, José M. Measurable diagonalization of positive definite matrices. (English) Zbl 1311.41004 J. Approx. Theory 185, 91-97 (2014). Reviewer: Bilal Bilalov (Baku) MSC: 41A10 46E35 46G10 PDFBibTeX XMLCite \textit{Y. Quintana} and \textit{J. M. Rodríguez}, J. Approx. Theory 185, 91--97 (2014; Zbl 1311.41004) Full Text: DOI
Portilla, Ana; Quintana, Yamilet; Rodríguez, José M.; Tourís, Eva Concerning asymptotic behavior for extremal polynomials associated to nondiagonal Sobolev norms. (English) Zbl 1267.41008 J. Funct. Spaces Appl. 2013, Article ID 628031, 11 p. (2013). MSC: 41A10 41A60 PDFBibTeX XMLCite \textit{A. Portilla} et al., J. Funct. Spaces Appl. 2013, Article ID 628031, 11 p. (2013; Zbl 1267.41008) Full Text: DOI
Rodriguez, Jose M.; Sigarreta, Jose M. Sobolev spaces with respect to measures in curves and zeros of Sobolev orthogonal polynomials. (English) Zbl 1169.41002 Acta Appl. Math. 104, No. 3, 325-353 (2008). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 46E35 46G10 PDFBibTeX XMLCite \textit{J. M. Rodriguez} and \textit{J. M. Sigarreta}, Acta Appl. Math. 104, No. 3, 325--353 (2008; Zbl 1169.41002) Full Text: DOI arXiv
Díaz Mendoza, C.; Orive, Ramon; Pijeira Cabrera, H. Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality. (English) Zbl 1155.33006 J. Math. Anal. Appl. 346, No. 2, 480-488 (2008). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 33C45 41A10 30C10 30C15 PDFBibTeX XMLCite \textit{C. Díaz Mendoza} et al., J. Math. Anal. Appl. 346, No. 2, 480--488 (2008; Zbl 1155.33006) Full Text: DOI Link
Rodriguez, Jose M. A simple characterization of weighted Sobolev spaces with bounded multiplication operator. (English) Zbl 1221.41007 J. Approx. Theory 153, No. 1, 53-72 (2008). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 46E35 46G10 PDFBibTeX XMLCite \textit{J. M. Rodriguez}, J. Approx. Theory 153, No. 1, 53--72 (2008; Zbl 1221.41007) Full Text: DOI
Portilla, Ana; Quintana, Yamilet; Rodriguez, José M.; Touris, Eva Weierstrass’s theorem in weighted Sobolev spaces with \(k\) derivatives. (English) Zbl 1177.41007 Rocky Mt. J. Math. 37, No. 6, 1989-2024 (2007). Reviewer: Peter Lappan (East Lansing) MSC: 41A10 46E35 46G10 PDFBibTeX XMLCite \textit{A. Portilla} et al., Rocky Mt. J. Math. 37, No. 6, 1989--2024 (2007; Zbl 1177.41007) Full Text: DOI Euclid
López Lagomasino, G.; Español, F. Marcellán; Pijeira Cabrera, H. Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line. (English) Zbl 1106.41031 J. Approximation Theory 143, No. 1, 62-73 (2006). MSC: 41A60 46E35 PDFBibTeX XMLCite \textit{G. López Lagomasino} et al., J. Approx. Theory 143, No. 1, 62--73 (2006; Zbl 1106.41031) Full Text: DOI Link
López Lagomasino, G.; Pérez Izquierdo, I.; Pijeira Cabrera, H. Asymptotic of extremal polynomials in the complex plane. (English) Zbl 1084.30043 J. Approximation Theory 137, No. 2, 226-237 (2005). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 30E15 41A60 PDFBibTeX XMLCite \textit{G. López Lagomasino} et al., J. Approx. Theory 137, No. 2, 226--237 (2005; Zbl 1084.30043) Full Text: DOI Link
Portilla, Ana; Quintana, Yamilet; Rodríguez, José M.; Tourís, Eva Weierstrass’ theorem with weights. (English) Zbl 1045.41005 J. Approximation Theory 127, No. 1, 83-107 (2004). Reviewer: Ganesh Datta Dikshit (Auckland) MSC: 41A10 41A28 41A30 PDFBibTeX XMLCite \textit{A. Portilla} et al., J. Approx. Theory 127, No. 1, 83--107 (2004; Zbl 1045.41005) Full Text: DOI Link
Rodríguez, José M. Approximation by polynomials and smooth functions in Sobolev spaces with respect to measures. (English) Zbl 1014.41007 J. Approximation Theory 120, No. 2, 185-216 (2003). Reviewer: K.Malyutin (Sumy) MSC: 41A10 PDFBibTeX XMLCite \textit{J. M. Rodríguez}, J. Approx. Theory 120, No. 2, 185--216 (2003; Zbl 1014.41007) Full Text: DOI
Rodríguez, José M. Weierstrass’ theorem in weighted Sobolev spaces. (English) Zbl 0978.41005 J. Approximation Theory 108, No. 2, 119-160 (2001). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 41A10 46E35 PDFBibTeX XMLCite \textit{J. M. Rodríguez}, J. Approx. Theory 108, No. 2, 119--160 (2001; Zbl 0978.41005) Full Text: DOI